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arcctg(x+1)
Solving integrals/ arcctg(x+1)

Integral of arcctg(x+1) dx

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The graph:

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Piecewise:

The solution

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  1               
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 |  acot(x + 1) dx
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∫01acot⁡(x+1) dx\int\limits_{0}^{1} \operatorname{acot}{\left(x + 1 \right)}\, dx 
Integral(acot(x + 1), (x, 0, 1))
The answer (Indefinite) [src] 
  /                        /           2\                      
 |                      log\1 + (x + 1) /                      
 | acot(x + 1) dx = C + ----------------- + (x + 1)*acot(x + 1)
 |                              2                              
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log⁡((x+1)2+1)2+(x+1) arccot  (x+1){{\log \left(\left(x+1\right)^2+1\right)}\over{2}}+\left(x+1\right) \,{\rm arccot}\; \left(x+1\right)
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
log(5)               log(2)   pi
------ + 2*acot(2) - ------ - --
  2                    2      4
log⁡5−2 arctan⁡2+2 arctan⁡(12)2−2 log⁡2−π4{{\log 5-2\,\arctan 2+2\,\arctan \left({{1}\over{2}}\right)}\over{2 }}-{{2\,\log 2-\pi}\over{4}} 
=
= 
log(5)               log(2)   pi
------ + 2*acot(2) - ------ - --
  2                    2      4
−π4−log⁡(2)2+log⁡(5)2+2acot⁡(2)- \frac{\pi}{4} - \frac{\log{\left(2 \right)}}{2} + \frac{\log{\left(5 \right)}}{2} + 2 \operatorname{acot}{\left(2 \right)}
Упростить
Numerical answer [src] 
0.600042420541241
0.600042420541241
The graph
Integral of arcctg(x+1) dx

    Use the examples entering the upper and lower limits of integration.

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